Least Common Multiple of 75/941, 42/460, 842/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/941, 42/460, 842/706 quickly i.e. 442050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/941, 42/460, 842/706 is 442050.

LCM(75/941, 42/460, 842/706) = 442050

LCM of 75/941, 42/460, 842/706

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 75/941,42/460,842/706

Given numbers are 75/941,42/460,842/706

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 75,42,842

Least Common Multiple of Numerators i.e. LCM of 75,42,842 is 442050.

GCF of Denominators means GCF of 941,460,706 as per the given fractions.

GCF of 941,460,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,42,842

LCM of Fractions 75/941,42/460,842/706 is 442050

2 75, 42, 842
3 75, 21, 421
25, 7, 421

∴ So the LCM of the given numbers is 2 x 3 x 25 x 7 x 421 = 442050

Least Common Multiple of 75,42,842 with GCF Formula

Least Common Multiple of 75,42,842 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 75,42,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,42,842) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,42,842) x common factors =1 x 6 = 6

LCM(75,42,842) = ( 75 × 42 × 842 ) / 6

LCM(75,42,842) = 2652300 / 6

LCM(75,42,842) = 442050


Lets's calculate GCF of 941,460,706

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442050/1

Therefore the LCM of Fractions 75/941,42/460,842/706 is 442050

Greatest Common Factor of 941,460,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 941,460,706 By Matching Biggest Common Factor Method

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 941,460,706 . The biggest common factor number is the GCF number.
So the greatest common factor 941,460,706 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 75/941, 42/460, 842/706

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 75/941, 42/460, 842/706?

Answer: LCM of Numerators as per given numbers 75/941, 42/460, 842/706 is

LCM of Numerators i.e. for 75,42,842 is 442050

GCF of denominators i.e. for 941,460,706 is 1.

Thus, LCM of Fractions is 442050.Finally, LCM of Fractions for 75/941, 42/460, 842/706 is 442050.